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Simplifying 4(2a + -6) + 5(a + 3) = 0 Reorder the terms: 4(-6 + 2a) + 5(a + 3) = 0 (-6 * 4 + 2a * 4) + 5(a + 3) = 0 (-24 + 8a) + 5(a + 3) = 0 Reorder the terms: -24 + 8a + 5(3 + a) = 0 -24 + 8a + (3 * 5 + a * 5) = 0 -24 + 8a + (15 + 5a) = 0 Reorder the terms: -24 + 15 + 8a + 5a = 0 Combine like terms: -24 + 15 = -9 -9 + 8a + 5a = 0 Combine like terms: 8a + 5a = 13a -9 + 13a = 0 Solving -9 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 13a = 0 + 9 13a = 0 + 9 Combine like terms: 0 + 9 = 9 13a = 9 Divide each side by '13'. a = 0.6923076923 Simplifying a = 0.6923076923
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